104175060369408 has 1080 divisors, whose sum is σ = 367538411036160. Its totient is φ = 28312365957120.

The previous prime is 104175060369311. The next prime is 104175060369451. The reversal of 104175060369408 is 804963060571401.

104175060369408 is a `hidden beast` number, since 1 + 0 + 4 + 17 + 506 + 0 + 36 + 94 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13215150235 + ... + 13215158117.

It is an arithmetic number, because the mean of its divisors is an integer number (340313343552).

Almost surely, 2^{104175060369408} is an apocalyptic number.

104175060369408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104175060369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183769205518080).

104175060369408 is an abundant number, since it is smaller than the sum of its proper divisors (263363350666752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104175060369408 is an equidigital number, since it uses as much as digits as its factorization.

104175060369408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 104175060369408 in words is "one hundred four trillion, one hundred seventy-five billion, sixty million, three hundred sixty-nine thousand, four hundred eight".